Black holes in the tensor-vector-scalar theory of gravity and their thermodynamics

Journal Article · Tue Jan 15 00:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.024010· OSTI ID:21035833

Sagi, Eva; Bekenstein, Jacob D ^[1]

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1. Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904 (Israel)

Tensor-vector-scalar (TeVeS) theory, a relativistic theory of gravity, was designed to provide a basis for the modified Newtonian dynamics. Since TeVeS differs from general relativity (e.g., it has two metrics, an Einstein metric and a physical metric), black hole solutions of it would be valuable for a number of endeavors ranging from astrophysical modeling to investigations into the interrelation between gravity and thermodynamics. Giannios has recently found a TeVeS analogue of the Schwarzschild black hole solution. We proceed further with the program by analytically solving the TeVeS equations for a static spherically symmetric and asymptotically flat system of electromagnetic and gravity fields. We show that one solution is provided by the Reissner-Nordstroem metric as physical metric, the TeVeS vector field pointing in the time direction, and a TeVeS scalar field positive everywhere (the last feature protects from superluminal propagation of disturbances in the fields). We work out black hole thermodynamics in TeVeS using the physical metric; black hole entropy, temperature, and electric potential turn out to be identical to those in general relativity. We find it inconsistent to base thermodynamics on the Einstein metric. In light of this, we reconsider the Dubovsky-Sibiryakov scenario for violating the second law of thermodynamics in theories with Lorentz symmetry violation.

• OSTI ID: 21035833
• Journal Information: Physical Review. D, Particles Fields, Vol. 77, Issue 2; Other Information: DOI: 10.1103/PhysRevD.77.024010; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASTROPHYSICS
BLACK HOLES
COMPUTERIZED SIMULATION
COSMOLOGY
DISTURBANCES
ELECTRIC POTENTIAL
ENTROPY
GENERAL RELATIVITY THEORY
GRAVITATION
MATHEMATICAL SOLUTIONS
METRICS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SCALAR FIELDS
SCALARS
SYMMETRY BREAKING
THERMODYNAMICS
VECTOR FIELDS
VECTORS